Destek fonksiyonları içeren varyasyonel problemler için simetrik dualite

Destek fonksiyonlu çok amaçlı varyasyonel problemler için Wolfe ve Mond-Weir t ipi simetrik dual modeller formüle edilmiştir. Bu çeşit problemler için; zayıf, güçlü ve karşıt dualite teoremleri fonksiyonellerin belirli kombinasyonları üzerine konvekslik-konkavlık ve pseudo-konvekslik, pseudo-konkavlık varsayımları altında geçerli kılınmıştır. İki çift için de öz dualite teoremleri kurulmuştur. Doğal sınır değerli problemler formüle edilmiştir. Ayrıca dualite sonuçlarımızın, destek fonksiyoları gibi diferansiyellenemeyen ifadelere sahip olan nonlineer programlama problemlerinin dinamik genelleştirmeleri olarak kabul edilebileceğine dikkat çekilmektedir.

Anahtar Kelimeler:

Çok amaçlı, varyasyonel problemler, destek fonksiyonlar, simetrik dualite, öz dualite, konvekslik-konkavlık, pseudokonvekslik- pseudokonkavlık

Symmetric duality for multiobjective variational problems containing support functions

Wolfe and Mond-Weir type symmetric dual models for multiobjective variational problems with support functions are formulated. For these pairs of problems, weak, strong and converse d uality t heorems a re v alidated u nder convexity-concavity and pseudoconvexity, p seudo-concavity a ssumptions o n certain c ombination off unctionals. Self duality theorems for both pairs are established. The problems with natural boundary values are formulated. It is also pointed out that our duality results can be regarded as dynamic generalizations of nonlinear programming problems h aving nondifferentiable terms as support functions.

Keywords:

Multiobjective, variational problems, support functions, symmetric duality, self duality, convexity-concavity, pseudoconvexity-pseudoconcavity,

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